An elastic half-plane with a fixed cycloid wavy boundary

DOI10.1007/s00033-021-01519-5zbMath1468.30013OpenAlexW3139576241MaRDI QIDQ2026379

Xu Wang, Peter Schiavone

Publication date: 19 May 2021

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00033-021-01519-5

zbMATH Keywords

complex variable methodconformal mappingstress concentrationstress intensity factoranalytic continuationanticrackcycloid interface

Mathematics Subject Classification ID

Classical linear elasticity (74B05) Stress concentrations, singularities in solid mechanics (74G70) Micromechanics of solids (74M25) Conformal mappings of special domains (30C20) Boundary value problems in the complex plane (30E25) Micromechanical theories (74A60) PDEs in connection with mechanics of deformable solids (35Q74) Analytic continuation of functions of one complex variable (30B40) Complex-variable methods applied to problems in solid mechanics (74S70) Mathematical modeling or simulation for problems pertaining to mechanics of deformable solids (74-10)

Cites Work

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• An edge dislocation interacting with a slightly wavy interface
• Stress concentration at slightly undulating surfaces
• Inverse problems of the plane theory of elasticity
• Stress singularities along a cycloid rough surface
• Three-phase elliptical inclusions with internal uniform hydrostatic stresses
• Asymptotic elastic fields near an interface anticrack tip

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